Felipe Cucker

9.2k total citations · 2 hit papers
109 papers, 5.2k citations indexed

About

Felipe Cucker is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Artificial Intelligence. According to data from OpenAlex, Felipe Cucker has authored 109 papers receiving a total of 5.2k indexed citations (citations by other indexed papers that have themselves been cited), including 66 papers in Computational Theory and Mathematics, 17 papers in Numerical Analysis and 13 papers in Artificial Intelligence. Recurrent topics in Felipe Cucker's work include Polynomial and algebraic computation (29 papers), Computability, Logic, AI Algorithms (20 papers) and Advanced Optimization Algorithms Research (16 papers). Felipe Cucker is often cited by papers focused on Polynomial and algebraic computation (29 papers), Computability, Logic, AI Algorithms (20 papers) and Advanced Optimization Algorithms Research (16 papers). Felipe Cucker collaborates with scholars based in Hong Kong, United States and Spain. Felipe Cucker's co-authors include Steve Smale, Ding Zhou, Jiu‐Gang Dong, Michael Shub, Lenore Blum, Peter Bürgisser, Ernesto Mordecki, Huaian Diao, Cristián Huepe and Yimin Wei and has published in prestigious journals such as IEEE Transactions on Automatic Control, European Journal of Operational Research and Mathematics of Computation.

In The Last Decade

Felipe Cucker

104 papers receiving 4.8k citations

Hit Papers

Emergent Behavior in Flocks 2001 2026 2009 2017 2007 2001 250 500 750 1000
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Emergent Behavior in Flocks
    2007 1.1k citations Felipe Cucker, Steve Smale profile →
  2. On the mathematical foundations of learning
    2001 927 citations Felipe Cucker, Steve Smale profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Felipe Cucker Hong Kong 25 1.5k 1.1k 1.1k 919 706 109 5.2k
Steve Smale United States 32 1.3k 0.8× 2.0k 1.8× 1.5k 1.4× 1.3k 1.5× 992 1.4× 54 7.3k
B. T. Polyak Russia 25 509 0.3× 2.2k 1.9× 1.7k 1.5× 1.9k 2.0× 210 0.3× 87 6.7k
Adrian S. Lewis United States 40 325 0.2× 2.7k 2.4× 747 0.7× 1.9k 2.0× 383 0.5× 132 6.0k
Daniel A. Spielman United States 40 3.3k 2.2× 2.0k 1.8× 2.2k 2.0× 488 0.5× 527 0.7× 87 6.7k
Ravi Kannan United States 34 621 0.4× 1.8k 1.6× 2.4k 2.1× 846 0.9× 480 0.7× 116 5.4k
Shang‐Hua Teng United States 37 1.3k 0.8× 1.4k 1.3× 1.2k 1.0× 722 0.8× 532 0.8× 154 4.9k
Pablo A. Parrilo United States 40 1.9k 1.3× 1.9k 1.6× 1.8k 1.6× 2.4k 2.6× 482 0.7× 158 9.4k
Sanjoy K. Mitter United States 47 2.3k 1.5× 2.8k 2.5× 1.3k 1.2× 1.3k 1.4× 711 1.0× 151 12.1k
Yurii Nesterov Belgium 28 1.2k 0.8× 2.7k 2.4× 3.1k 2.8× 3.5k 3.8× 391 0.6× 93 10.2k
Miroslav Fiedler Czechia 26 1.4k 0.9× 2.9k 2.6× 604 0.5× 274 0.3× 1.2k 1.7× 159 6.5k

Countries citing papers authored by Felipe Cucker

Since Specialization
Citations

This map shows the geographic impact of Felipe Cucker's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Felipe Cucker with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Felipe Cucker more than expected).

Fields of papers citing papers by Felipe Cucker

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Felipe Cucker. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Felipe Cucker. The network helps show where Felipe Cucker may publish in the future.

Co-authorship network of co-authors of Felipe Cucker

This figure shows the co-authorship network connecting the top 25 collaborators of Felipe Cucker. A scholar is included among the top collaborators of Felipe Cucker based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Felipe Cucker. Felipe Cucker is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Cucker, Felipe, et al.. (2022). On the Complexity of the Plantinga–Vegter Algorithm. Discrete & Computational Geometry. 68(3). 664–708. 1 indexed citations
2.
Beltrán, Carlos, et al.. (2018). A stable, polynomial-time algorithm for the eigenpair problem. Journal of the European Mathematical Society. 20(6). 1375–1437. 9 indexed citations
3.
Cucker, Felipe, et al.. (2013). On the Average Condition of Random Linear Programs. SIAM Journal on Optimization. 23(2). 799–810. 1 indexed citations
4.
Bürgisser, Peter & Felipe Cucker. (2010). Smoothed Analysis of Moore–Penrose Inversion. SIAM Journal on Matrix Analysis and Applications. 31(5). 2769–2783. 11 indexed citations
5.
Bürgisser, Peter & Felipe Cucker. (2010). Solving polynomial equations in smoothed polynomial time and a near solution to smale's 17th problem. 503–512. 1 indexed citations
6.
Cucker, Felipe, Raphael Hauser, & Martin Lötz. (2010). Adversarial smoothed analysis. Journal of Complexity. 26(3). 255–262. 3 indexed citations
7.
Cucker, Felipe, et al.. (2009). Componentwise Condition Numbers of Random Sparse Matrices. SIAM Journal on Matrix Analysis and Applications. 31(2). 721–731. 1 indexed citations
8.
Cucker, Felipe, et al.. (2008). A numerical algorithm for zero counting, I: Complexity and accuracy. Journal of Complexity. 24(5-6). 582–605. 14 indexed citations
9.
Cucker, Felipe & Ding Zhou. (2007). Learning Theory: An Approximation Theory Viewpoint (Cambridge Monographs on Applied & Computational Mathematics). Cambridge University Press eBooks. 120 indexed citations
10.
Cucker, Felipe, et al.. (2007). A note on parallel and alternating time. Journal of Complexity. 23(4-6). 594–602. 2 indexed citations
11.
Cucker, Felipe, et al.. (2005). Tail Decay and Moment Estimates of a Condition Number for Random Linear Conic Systems. SIAM Journal on Optimization. 15(4). 1237–1261. 7 indexed citations
12.
Bürgisser, Peter & Felipe Cucker. (2005). Counting complexity classes for numeric computations II: Algebraic and semialgebraic sets. Journal of Complexity. 22(2). 147–191. 29 indexed citations
13.
Bürgisser, Peter & Felipe Cucker. (2003). Counting Complexity Classes for Numeric Computations I: Semilinear Sets. SIAM Journal on Computing. 33(1). 227–260. 6 indexed citations
14.
Cucker, Felipe & Javier Peña. (2002). A Primal-Dual Algorithm for Solving Polyhedral Conic Systems with a Finite-Precision Machine. SIAM Journal on Optimization. 12(2). 522–554. 24 indexed citations
15.
Cucker, Felipe & Steve Smale. (2002). Best Choices for Regularization Parameters in Learning Theory: On the Bias—Variance Problem. Mathematische Annalen. 2(4). 413–428. 175 indexed citations
16.
Cucker, Felipe & Dima Grigoriev. (2001). There are No Sparse NPw-Hard Sets. SIAM Journal on Computing. 31(1). 193–198.
17.
Cucker, Felipe & Jean‐Pierre Dedieu. (2001). Decision Problems and Round-Off Machines. Theory of Computing Systems. 34(5). 433–452.
18.
Cucker, Felipe & Dima Grigoriev. (1999). Complexity Lower Bounds for Approximation Algebraic Computation Trees. Journal of Complexity. 15(4). 499–512. 5 indexed citations
19.
Nivat, Maurice & Felipe Cucker. (1994). Selected papers of the workshop on Continuous algorithms and complexity. 2 indexed citations
20.
Cucker, Felipe, et al.. (1992). Two P-complete problems in the theory of the reals. Journal of Complexity. 8(4). 454–466. 9 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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